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12146857609 is a prime number
BaseRepresentation
bin10110101000000001…
…00101011010001001
31011100112110022010011
423110000211122021
5144334043420414
65325153151521
7610003405015
oct132400453211
934315408104
1012146857609
1151736479a7
12242bb5b5a1
1311b7703313
14833329545
154b15cddc4
hex2d4025689

12146857609 has 2 divisors, whose sum is σ = 12146857610. Its totient is φ = 12146857608.

The previous prime is 12146857607. The next prime is 12146857621. The reversal of 12146857609 is 90675864121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10765100025 + 1381757584 = 103755^2 + 37172^2 .

It is a cyclic number.

It is not a de Polignac number, because 12146857609 - 21 = 12146857607 is a prime.

It is a super-2 number, since 2×121468576092 (a number of 21 digits) contains 22 as substring.

Together with 12146857607, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12146857603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6073428804 + 6073428805.

It is an arithmetic number, because the mean of its divisors is an integer number (6073428805).

Almost surely, 212146857609 is an apocalyptic number.

It is an amenable number.

12146857609 is a deficient number, since it is larger than the sum of its proper divisors (1).

12146857609 is an equidigital number, since it uses as much as digits as its factorization.

12146857609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 12146857609 in words is "twelve billion, one hundred forty-six million, eight hundred fifty-seven thousand, six hundred nine".